In the horizontal asymptotes:
If the exponent of the numerator is the same as the exponent of the denominator, then:
[tex]\begin{gathered} y=\text{ }\frac{a}{b} \\ y=\text{ }\frac{7}{1} \\ y=7 \end{gathered}[/tex]
But, when there's a translation, then y= k, which means y= - 7.
In the vertical asymptotes:
You have to equal the denominator to 0, so:
[tex]\begin{gathered} x+\text{ 4= 0 } \\ x=\text{ -4} \end{gathered}[/tex]
The domain is all real numbers except -4 and the range is all real numbers except -7.
Now we have to check the graphs.
The correct graph is C. When x is -4 and y is -7.
